Abstract
A class of discrete flavor-symmetry-based models predicts constrained neutrino mass matrix schemes that lead to specific neutrino mass sum-rules (MSR). We show how these theories may constrain the absolute scale of neutrino mass, leading in most of the cases to a lower bound on the neutrinoless double beta decay effective amplitude.
Highlights
The discovery of oscillations [1,2,3,4,5,6,7,8] implies non-vanishing neutrino masses and mixing providing one of the most solid indications for physics beyond the Standard Model
Several realizations of non-Abelian discrete flavor symmetry schemes lead to an effective neutrino mass matrix which corresponds to a numerical prediction for lepton mixing
In the following we show how this class of mass matrices arises in non-Abelian discrete flavor symmetry schemes
Summary
The discovery of oscillations [1,2,3,4,5,6,7,8] implies non-vanishing neutrino masses and mixing providing one of the most solid indications for physics beyond the Standard Model. Since neutrinos carry no electric charge, they are expected on general grounds to be Majorana particles [9], leading to the existence of lepton number violating processes [10, 11] This intriguing possibility will be hopefully confirmed by the observation of neutrinoless double beta decay (0νββ) processes [12, 13]. The paper is organized as follows: in Section II we present the mass relations; in section III, we obtain the lower limit on |mee| for all models considered here and briefly discuss their phenomenological implications, whereas in Section IV we present our conclusions
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